MathematicsThe perimeter of the rectangular field is 2.5 kilometers. What is the greatest possible area it may contain?

The perimeter of the rectangular field is $2.5$ kilometers. What is the greatest possible area it may contain?

The square has the largest area of all rectangles with the same perimeter.

∴

Perimeter of square

= 2.5

kilometer

= 2500

m
Side of the square

= \frac{1}{4} \times 2500

= 625

m
Area of the square

= (625 \times 625) m^{2}

= 390625 m^{2}

= 0.390625 {km}^{2}

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